4(x-10)=-6(2-x)-6x

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Solution for 4(x-10)=-6(2-x)-6x equation:


Simplifying
4(x + -10) = -6(2 + -1x) + -6x

Reorder the terms:
4(-10 + x) = -6(2 + -1x) + -6x
(-10 * 4 + x * 4) = -6(2 + -1x) + -6x
(-40 + 4x) = -6(2 + -1x) + -6x
-40 + 4x = (2 * -6 + -1x * -6) + -6x
-40 + 4x = (-12 + 6x) + -6x

Combine like terms: 6x + -6x = 0
-40 + 4x = -12 + 0
-40 + 4x = -12

Solving
-40 + 4x = -12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '40' to each side of the equation.
-40 + 40 + 4x = -12 + 40

Combine like terms: -40 + 40 = 0
0 + 4x = -12 + 40
4x = -12 + 40

Combine like terms: -12 + 40 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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